Certain estimates of oscillatory integrals and extrapolation
| Author | Al-Qassem, Hussain |
| Available date | 2024-02-07T09:22:21Z |
| Publication Date | 2010-05-01 |
| Publication Name | World Academy of Science, Engineering and Technology |
| Citation | Al-Qassem, H. (2010). Certain Estimates of Oscillatory Integrals and Extrapolation. |
| ISSN | 2010376X |
| Abstract | In this paper we study the boundedness properties of certain oscillatory integrals with polynomial phase. We obtain sharp estimates for these oscillatory integrals. By the virtue of these estimates and extrapolation we obtain L p boundedness for these oscillatory integrals under rather weak size conditions on the kernel function. |
| Sponsor | In this paper we study the boundedness properties of certain oscillatory integrals with polynomial phase. We obtain sharp estimates for these oscillatory integrals. By the virtue of these estimates and extrapolation we obtain L p boundedness for these oscillatory integrals under rather weak size conditions on the kernel function. |
| Language | en |
| Subject | Block spaces Extrapolation Fourier transform L boundedness p Orlicz spaces Oscillatory integrals |
| Type | Article |
| Volume Number | 65 |
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Mathematics, Statistics & Physics [694 items ]